Question

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $x$ times the velocity of neutron. The value of $x$ is _________(Nearest Integer)
(Mass of electron is $9.1 \times 10^{-31} kg$ and mass of neutron is $1.6 \times 10^{-27} kg$ )

Answer 1

$ v_{ e }= x v_{ N } $
$ \lambda_{ e }=\lambda_{ N } $
$ \Rightarrow \frac{ h }{ m _{ e } v_{ e }}=\frac{ h }{ m _{ N } v_{ N }} $
$ v_{ e }=\frac{ m _{ N }}{ m _{ e }} \cdot v _{ N }$
$ =\frac{1.6 \times 10^{-27}}{9.1 \times 10^{-31}} v_{ N }$
$ v_{ e }=1758.24 \times v_{ N } $
$ \therefore x =1758.24$